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12000210100110 = 233545833969721
BaseRepresentation
bin1010111010100000010001…
…0000101001111110001110
31120111012122021102021222000
42232220010100221332032
53033102412241200420
641304453113133130
72345662251564201
oct256500420517616
946435567367860
1012000210100110
113907295836161
12141987a0ba1a6
136907cc0a218b
142d6b5586d938
1515c2465c2690
hexaea04429f8e

12000210100110 has 64 divisors (see below), whose sum is σ = 32001291466560. Its totient is φ = 3199982906880.

The previous prime is 12000210100103. The next prime is 12000210100163. The reversal of 12000210100110 is 1100101200021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000210100092 and 12000210100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11890050 + ... + 12859770.

It is an arithmetic number, because the mean of its divisors is an integer number (500020179165).

Almost surely, 212000210100110 is an apocalyptic number.

12000210100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000210100110 is an abundant number, since it is smaller than the sum of its proper divisors (20001081366450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12000210100110 is a wasteful number, since it uses less digits than its factorization.

12000210100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015570 (or 1015564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000210100110 its reverse (1100101200021), we get a palindrome (13100311300131).

The spelling of 12000210100110 in words is "twelve trillion, two hundred ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 45833 91666 137499 229165 274998 412497 458330 687495 824994 969721 1237491 1374990 1939442 2062485 2474982 2909163 4124970 4848605 5818326 6187455 8727489 9697210 12374910 14545815 17454978 26182467 29091630 43637445 52364934 87274890 130912335 261824670 44445222593 88890445186 133335667779 222226112965 266671335558 400007003337 444452225930 666678338895 800014006674 1200021010011 1333356677790 2000035016685 2400042020022 4000070033370 6000105050055 12000210100110